6
bbooednainnonzesr.am I a : Fix ,y)=x5eyj b : Fox , 4) =yitxJ c : fix ,y)=xi - yj d : Fix , y ) - - yi - xj of Nmd I Idk 2 x y Tasmanian ( 10 , -10 ) Tamsin pm ( to , -107 angel melatonin of hairworm - loitloj an gdmdoib.nimokwn-nwr.mn - Ioi - loj Kofu Ello , -101=-105+10 ] is 'a5on① Koalas F- Cio , -101=-105 - toy idolater @ # Fct ) = etztzrzetkjttk ; to Tasha F' HI = eti + rzetkjtk I' HI . F' ft ) =e2tt2ett1 a a-obubir.o-mgcnfobn.la/TrtoFtTdt--fIe2ttzetIdt-- §Jce2dt ° = § Cettnldt = LETTIE = Cette - E - o ] - e # Fctktitkt t ' )j late Exo ( 3.7 ) binomial Txt ) = F' A ) = I + ( 4- 217J Dasan amour Fct ) Torah x=t , y - - 4T - t2 alga C 3,3 ) 7524 3 I i. F' Ct ) = I t C 4-213715 = I -2J G. 2) boning 's a- Ct ) - - T " Ct ) = - 2J Anastomoses : AT = ( af IT i I .J= -8 tzt , E. E = 7+14-21-12 of 'qat⇒ E. J= -2 , E. E = 2 a- ohh I,= III -2J ) = - I -125 anastomosis : An = d- IT = C- 257 - ( - Teej ) = I -4J and t =3 C 3.37 trinitarianism of Jct ) , TCH oiooiancs : Set ECHO att ) = o : ( It (4-21-15) . ( -257=0 -214-21-7=0 t=2 #

Ioi - Supanut Chaidee · ⑧ g=xy2z, E=-YI-2-25-x 't ③d C8.1 ) Do CDg) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk o =y2zTt2XyzJtxy2k. '-Do CDg) =Z×(y#ItZy(Xyz) tfzfxy 2×218.2

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Page 1: Ioi - Supanut Chaidee · ⑧ g=xy2z, E=-YI-2-25-x 't ③d C8.1 ) Do CDg) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk o =y2zTt2XyzJtxy2k. '-Do CDg) =Z×(y#ItZy(Xyz) tfzfxy 2×218.2

bbooednainnonzesr.am I①

① a : Fix ,y)=x5eyj b : Fox,

4) =yitxJ c : fix,y)=xi - yj d :Fix, y ) -

- yi - xj

ofNmd I Idk 2

x yTasmanian ( 10

,-10 ) Tamsin pm ( to , -107

angel melatonin of hairworm - loitloj an gdmdoib.nimokwn-nwr.mn -

Ioi- loj

Kofu Ello,

-101=-105+10 ] is'a5on① Koalas F-Cio,-101=-105 - toy idolater @ #

② Fct ) = etztzrzetkjttk ; to

Tasha F' HI = eti + rzetkjtkI' HI . F' ft ) =e2tt2ett1

aa-obubir.o-mgcnfobn.la/TrtoFtTdt--fIe2ttzetIdt--§Jce2dt

°

= § Cettnldt = LETTIE

= Cette- E - o ] -

- e #③ Fctktitkt - t ' )j late Exo

( 3.7 ) binomial Txt ) = F' A ) = I + ( 4- 217JDasan amour Fct ) Torah x=t

, y-

- 4T - t2

alga C 3,3 ) 7524 3 I

i. F' Ct ) = I t C4-213715 = I -2JG. 2) boning 's a- Ct ) -

- T "

Ct ) = - 2JAnastomoses : AT = ( af IT

i.

I .J= -8 tzt,

E. E = 7+14-21-12of'qat⇒ ⇒ E. J= -2

,

E. E = 2 a- ohh I,= III-2J ) = -I -125 .

anastomosis : An = d- IT = C-257 - ( - Teej ) = I -4J .

and t =3

C 3.37 trinitarianism of Jct ),

TCH oiooiancs : Set ECHO att ) = o

. : ( It (4-21-15) . ( -257=0 ⇐ -214-21-7=0 ⇒ t=2 #

Page 2: Ioi - Supanut Chaidee · ⑧ g=xy2z, E=-YI-2-25-x 't ③d C8.1 ) Do CDg) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk o =y2zTt2XyzJtxy2k. '-Do CDg) =Z×(y#ItZy(Xyz) tfzfxy 2×218.2

⑨ Fct ) = cos CHIT + sin Cztljt It t 't ; Exo①

( 4.7 ) bairns : F' Ct ) = - 25in Czt ) I -12 cos Cztljtzytkg-

'

E- IT

: F' CT ) -2sinfzTTII-zcoslztlft.FIE

€2 ) minor of Cw ) = pet , + wp.iq ,2J+ 2K

and t -

- IT;

FCT ) = cos Iits rn#TIJt¥T7k = Title

of Cw ) =FIT ) tw F' CIT )

= ( It Itkltw ( 2J -12K )

= It zwjtchtzwlk #

⑤ 6.1 ) nohow xhyhzt-sho-g.mu 7=1445=6

.nu#::.::::t.x:e::::.:::.::Is..teQFlt )= ( zoos f) It Czsihtlytk ; O E t E 2T

.

( 5.2 ) grisnfonooa y= 9 - XIE Hosono Xy C artwork 7=0 )

^Z

" .

e :,

';I . no :* . .

.

'

.

Fct ) -

- ti -1 Ca - t' ) j ; - acts as

.

c

# x

⑥ The ,y ,2-7=5×2-3 xytxyz

( 6.1 ) tsniorofoisannoioaa THY ,H=o Kaga PC 3,45 )an

DTCxihzl-fzti-ztyj-ZIE-CIOX-3y-yzlitf-3X-xzljtlxy.TK

I.

DTC 3, 4,57 = (30-12+20) It f- 9+1575-1 ( 127 E

= 38T -16J tlzk ordination , ootid Fo IDF =I( 385 tojtizh )

C 6.2 ) hmm of a- = Tej - E ⇒ ui=ffaI,

= a-

.

'

. DgT = Df I 3, 4,5 ) . @

=

4385+65+12te ) . City -

E )B

= fz

(38-16-12)=3¥o-nnmswiowwosndqaPC3.us) in'aE6 oiooonsi 3221M ?

( 6.3 ) orinrnaaosamnnsga FOIA - Df Foot - 388 - Gj -12K

⑦ Df = Czxy -137215tcxtby.KZ/jtC2y3eZt6xz)kfI=2xyt3zZ

⇒ fffdx-fkxyt32-21dx-xy-3xzthcy.tt )

zfy=xk6y2eZ ⇒

fziydy-flxtbyezldy-xhytzyseZ-gcx.tt)

2£ =2y3eZt6Xz ⇒ faizdz-fczyeZ-6XHdz-2ykt-3xztkcx.gl.

'

. hey , 7) = 2y3eZ t C, , g Cx

,2-1=3×74 Cz ,

KCX, y ) =X2yt Cz

i. fcx ,yz)=2y3eZt3XZ2txytC ; ( c -- C , -1GHz ) #

Page 3: Ioi - Supanut Chaidee · ⑧ g=xy2z, E=-YI-2-25-x 't ③d C8.1 ) Do CDg) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk o =y2zTt2XyzJtxy2k. '-Do CDg) =Z×(y#ItZy(Xyz) tfzfxy 2×218.2

⑧ g=xy2z ,

E=- YI - 2-25 - x 't ③d

C 8.1 ) Do C Dg ) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk

o =y2zTt2XyzJtxy2k.

'

- Do CDg) =Z×(y#ItZy(Xyz ) tfzfxy'

) =

2×218.2) div ( DXFIDoom THE =/ ItEy2k¥ /

- y -2-2 ax 3

= 27T - ( - 3×215+415=22-5+3×25 - hi.

-: div C Dx E) =D . ( THE )

=I×C2HtfyC3x7tzzC - I ) = o #

⑨ E Cx, D= cos Xi ty

} j lato TCH -2 titty ; OETEIT

⑦ adI= zitztj

a-sofas ! Edt = ! (cos lztlittj ) . Czixztgldt

= ! (

zcoszt-zt41dt-zcsinttt.IT!=ft #

⑥ felt dxtxydyttzdz 180 FGI=tit3jt¥k Anga 43,1703 la, 3,4 )

Danda 's x = t, y =3

,2- =fz

17504ga

C 7,3 ,77 80kt - I

Koto dx -- at

, dy -- o

,dz= - Edt ga ( 4,3 , # Intern t=4

a

i. {ekdxtxydyttzdz-fletdt-HK-f.la

)7

= flea . feldt

=[eI±InltD,

"

[email protected]) -

-x' itlzxtyj an IF.dF={Edrt§Edr

rTH=titzj ; # EZ § E. die = § Cthitczttzlj ).CI/dt=oft2dt--tz3/o2=8grGI=titG-2t5ifqE.dg=ffEi+fztb-

ftp.ci-zjldt-f/E-i2)dt=Iz-ht/z32EtE3--

(9-36)-(85-24)=-173. :{ Edi -

- I - IF =- I =-3 #

Page 4: Ioi - Supanut Chaidee · ⑧ g=xy2z, E=-YI-2-25-x 't ③d C8.1 ) Do CDg) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk o =y2zTt2XyzJtxy2k. '-Do CDg) =Z×(y#ItZy(Xyz) tfzfxy 2×218.2

④ an §C-2y3dxt5dy4G

rooms ; E = I -2515+55

;

". III -2¥ = 0+49 =4y

If it i. §Hy3dxEdy=§4ydA31714 2

Ginkgos x-tcoso.y-rsi.no = ffftrsiholrdrdo =

'

& tsihodrdo

I. Is now xkyI4 ⇒ r=2

% 1

osnosn x45=1⇒r=1 = I sino 't do I - f) smodo

80068M fz=2cosO ⇒ cos @ = Ez-

31174. :O -

-

I = -58cos of = - 2381 cos 3¥ - cost )4The

giirrogioioonh -52=2050 ⇒ cosoe - Ez

i.

0=-72= -3dL - Ez - E ] = 28312 #

③ ( 13.1 ) y÷+ 72=1 ;- I EX E3

÷÷¥÷:÷:* .

.

'

.

Flu ,v ) = Uit 305 Vj + sin VII; - IEU E3

,0 EVE 2T

( 13.2 ) Xt2y=Z>

; -1 EXE 1,

0 EYE I

ft Z = u ; y-

-V Visoko OEVEI

i.

X =z3 -

zy =u3 - zu

Mn - If X EI 756 - I Eu' - zu S1

Info -1 E - I tzv EU 'sE1t2V E3

.

'

.

- I Eu E"3

a-safes Tcu ,v)= ( us - zu ) I + vjtuk ; - I Eu E3's

,OEVSI

④ Their )=e"V It lzjtzvsoh UK

Un T = truxrv : Fu evi tzvcosuk

Fr = e" I + zsinuk

.

.

. fury =/ I2¥04 =- ke"vsinu - we

"

cos a) I = -zveukosu - sinus Je

"O 251ha

.int/-2veYcosu-sinuHj=tj #-

I 2 veuccosu -smut

Page 5: Ioi - Supanut Chaidee · ⑧ g=xy2z, E=-YI-2-25-x 't ③d C8.1 ) Do CDg) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk o =y2zTt2XyzJtxy2k. '-Do CDg) =Z×(y#ItZy(Xyz) tfzfxy 2×218.2

③ Fcu ,v ) = UI -10J -113 - WE ; - I EU El,

ZEV E3⑤

arm .

@ a ACS ) =gfftruxruldudv .

i. Eu:}-e) Exit !!f- ite

i. trawl = E

3

i.

[email protected]

,'t )=xT - tanyjxzti ,

Their )= cosvituvjtsihvhi ;- IEUEIGOEVSIT

un⑤ Fu = Vj rj×r=/ OiIto/=

vcosvitvsrnvkTv = - sihvztyjtcosvte- sin u cos v

inform Nordstrand1800 A -_ - Vcos vi - vsihvj

gen : §fE . rids = VI -

tanfuyj-srhvkl.f-vcosvi-vsihvfddudv-jfffvcos.lv

- vsihv ) dudu.

= f-hdudv = Tov (2) dv= -2¥IoT = - IZ #

⑤ I =C2XtysTtC2ytHjt3ZkC17.1 ) i GSE . rids -

- fffdiv Eds

div

F-= Ix Czxtytfyczytz) -12221377=2+2+3--7

The z a Tz 2

i.

fffdivfds-ffftrdzdrdo-7ff4rdrdo-2.se#E/o2do

188dam as :v On0 0 o00=28

- 2. IT = 28T "! " "

CADg. Emas,

.. sat ; qe.n.es. isgains .name

I > ¥ Finds = 28T - 8T - I = 20T .

8g

2) Gf E. Ads =- fort - 16 ) = -28T-116 3) ff Finds = 281T - IOT -4=1811--4

Page 6: Ioi - Supanut Chaidee · ⑧ g=xy2z, E=-YI-2-25-x 't ③d C8.1 ) Do CDg) Anna Dg =Z×Cxy2⇒i + Zaycxyrhtljtfzcxyzk o =y2zTt2XyzJtxy2k. '-Do CDg) =Z×(y#ItZy(Xyz) tfzfxy 2×218.2

④ 9 : TCH = titty ; -r3 stars⑧

Cz : FH ) = Kosta -12 sin tf ; II Et E

an A =L #dy - ydx )

Hspath : x = t, y -

- tfDX =dt

, dy --

ztdtfxdy-ydx.fr?t.ztdt-t5dt=f?t'dt--Ifj,--3Iz+zB-AB

OIpath : x -

-Kost

, y=2sihtdx= - zsihtdt , dy -

- roost at

fqxdy - ydx cos 't dttysinztdt -

- a!⇒dt=4fIIII=HI=Ef

.: win

.

Fo A -_§xdy- ydx -

- !,

-1 ! = 2B -151 #

⑨ . Flu ,V)= 2 COS U i -125in ujthek ; OEUEZIT,

0 EVE 4 -8in U

. curl E=Ttk.

lonlmosoisonnoiowwosdnnrioiuon-ufuxrv.mn/E.dr--ffCcurlE) vids

.

I : a -

-

Fuxrirlruxrula- sub Th = -

zsihuitrcoujrj = I

i. taxi = fzsinuYasuko/ -

- ecosuitzsrnujO O I

54 4- since

:. § @url E) onids = offtithe ) . ( zcosuitzsinuj ) dudu

=

JjsmacosuldvduZIT COS 2h=f8cosu.ec#hudU0--8sihu-sinzu/j

"= O #